10042012223220 has 96 divisors (see below), whose sum is σ = 28654945990272. Its totient is φ = 2626721330688.

The previous prime is 10042012223179. The next prime is 10042012223227. The reversal of 10042012223220 is 2232221024001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042012223227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13120614 + ... + 13864866.

It is an arithmetic number, because the mean of its divisors is an integer number (298489020732).

Almost surely, 2^{10042012223220} is an apocalyptic number.

10042012223220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10042012223220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14327472995136).

10042012223220 is an abundant number, since it is smaller than the sum of its proper divisors (18612933767052).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10042012223220 is a wasteful number, since it uses less digits than its factorization.

10042012223220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748561 (or 748559 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10042012223220 its reverse (2232221024001), we get a palindrome (12274233247221).

The spelling of 10042012223220 in words is "ten trillion, forty-two billion, twelve million, two hundred twenty-three thousand, two hundred twenty".